7
algebra

A rideshare driver earns $18 per hour minus $3 per hour for vehicle costs. They need to earn more than $90 after working hh hours. Which inequality should they solve?

A

18h−3h>9018h - 3h > 90

B

18h−3>9018h - 3 > 90

C

15h>9015h > 90

D

Both A and C are correct

Correct Answer: D

Choice D is the correct answer. Different forms of the same inequality are equivalent.

  1. Net rate: $18 - $3 = $15 per hour
  2. Form A: (18−3)h>90(18 - 3)h > 90 simplifies to 15h>9015h > 90 ??n3. Form C: 15h>9015h > 90 (already simplified) ??n4. Both represent the same mathematical relationship

?�� Strategic Tip: Recognizing equivalent forms helps verify your setup is correct.

Choice A alone is incomplete because C is also correct. Choice B is incorrect because it subtracts $3 only once, not per hour. Choice C alone is incomplete because A is also correct.

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Linear Functions Set 67